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21310200200 = 23528310871181
BaseRepresentation
bin10011110110001011…
…111101100110001000
32001000010220100001002
4103312023331212020
5322120402401300
613442331314132
71353041466362
oct236613754610
961003810032
1021310200200
119046063903
1241688ab948
132017c74623
1410622ddd32
1584acc35d5
hex4f62fd988

21310200200 has 96 divisors (see below), whose sum is σ = 50231784960. Its totient is φ = 8406508800.

The previous prime is 21310200187. The next prime is 21310200251. The reversal of 21310200200 is 200201312.

It is a happy number.

21310200200 is nontrivially palindromic in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18043610 + ... + 18044790.

It is an arithmetic number, because the mean of its divisors is an integer number (523247760).

Almost surely, 221310200200 is an apocalyptic number.

21310200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21310200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25115892480).

21310200200 is an abundant number, since it is smaller than the sum of its proper divisors (28921584760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21310200200 is a wasteful number, since it uses less digits than its factorization.

21310200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21310200200 its reverse (200201312), we get a palindrome (21510401512).

The spelling of 21310200200 in words is "twenty-one billion, three hundred ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1087 1181 1660 2075 2174 2362 3320 4150 4348 4724 5435 5905 8300 8696 9448 10870 11810 16600 21740 23620 27175 29525 43480 47240 54350 59050 90221 98023 108700 118100 180442 196046 217400 236200 360884 392092 451105 490115 721768 784184 902210 980230 1283747 1804420 1960460 2255525 2450575 2567494 3608840 3920920 4511050 4901150 5134988 6418735 9022100 9802300 10269976 12837470 18044200 19604600 25674940 32093675 51349880 64187350 106551001 128374700 213102002 256749400 426204004 532755005 852408008 1065510010 2131020020 2663775025 4262040040 5327550050 10655100100 21310200200